A characterization of completeness of generalized metric spaces using generalized Banach contraction principle

• Autorzy: Ghosh P. , Ray A. D.
• Języki publikacji: EN

Abstrakty

EN

In this paper, introducing a contraction principle on generalized metric spaces, a generalization of Banach's fixed point theorem is obtained under the completeness condition of the space. Moreover, it is established that, using such contraction principle, completeness of the generalized metric space can be characterized.

Słowa kluczowe

EN

eneralised metric space; generalized Banach's contraction maps

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2012
• Tom: Vol. 45, nr 3
• Strony: 717--724
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Ghosh P.

autor

Ray A. D.

• Department Of Mathematics West Bengal State University Barasat, Berunanpukuria Malikapur, Wb 700126, India,

Bibliografia

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